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Wry-

It is in fact called rubrail.

For your model it is made of two parts. The white receiver or track and the black rubber insert.

It is made by Barbour Plastics and is still available.

While "trashed," does that mean it is broken, gouged or missing parts or just visually unappealing.

If a visual issue, there are steps you can take, DIY, to improve its esthetic look.